Partition Dependence 3-25-05 Final

In press, Management Science Comments welcome Subjective probability assessment in decision analysis: Partition dependence and bias toward the ignorance prior Craig R. Fox Robert T. Clemen The Anderson School of Management Fuqua School of Business and Department of Psychology Duke University University of California at Los Angeles Abstract Decision and risk analysts have considerable discretion in designing procedures for eliciting subjective probabilities. One of the most popular approaches is to specify a particular set of exclusive and exhaustive events for which the assessor provides such judgments. We show that assessed probabilities are systematically biased toward a uniform distribution over all events into which the relevant state space happens to be partitioned so that probabilities are “partition-dependent.” We surmise that a typical assessor begins with an “ignorance prior” distribution that assigns equal probabilities to all specified events, then adjusts those probabilities insufficiently to reflect his or her beliefs concerning how the likelihoods of the events differ. In five studies, we demonstrate partition dependence for both discrete events and continuous variables (Studies 1 and 2), show that the bias decreases with increased domain knowledge (Studies 3 and 4), and that top experts in decision analysis are susceptible to this bias (Study 5). We relate our work to previous research on the “pruning bias” in ...